mirror of
https://github.com/fleschutz/PowerShell.git
synced 2024-11-14 20:14:00 +01:00
74 lines
1.6 KiB
PowerShell
74 lines
1.6 KiB
PowerShell
<#
|
|
.SYNOPSIS
|
|
Lists PI
|
|
.DESCRIPTION
|
|
This PowerShell script calculates and lists the digits of the mathematical constant PI.
|
|
.PARAMETER digits
|
|
Specifies the number of digits to list (1000 by default)
|
|
.EXAMPLE
|
|
PS> ./list-pi
|
|
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342...
|
|
.LINK
|
|
https://github.com/fleschutz/PowerShell
|
|
.NOTES
|
|
Author: Markus Fleschutz | License: CC0
|
|
#>
|
|
|
|
param([int]$Digits = 1000)
|
|
|
|
function List-Pi ( $Digits ) {
|
|
$Big = [bigint[]](0..10)
|
|
|
|
$ndigits = 0
|
|
|
|
$q = $t = $k = $Big[1]
|
|
$r = $Big[0]
|
|
$l = $n = $Big[3]
|
|
|
|
# calculate first digit
|
|
$nr = ( $Big[2] * $q + $r ) * $l
|
|
$nn = ( $q * ( $Big[7] * $k + $Big[2] ) + $r * $l ) / ( $t * $l )
|
|
$q *= $k
|
|
$t *= $l
|
|
$l += $Big[2]
|
|
$k = $k + $Big[1]
|
|
$n = $nn
|
|
$r = $nr
|
|
|
|
Write-Host "$($n)." -noNewline
|
|
$ndigits++
|
|
|
|
$nr = $Big[10] * ( $r - $n * $t )
|
|
$n = ( ( $Big[10] * ( 3 * $q + $r ) ) / $t ) - 10 * $n
|
|
$q *= $Big[10]
|
|
$r = $nr
|
|
|
|
while ($ndigits -lt $Digits) {
|
|
if ($Big[4] * $q + $r - $t -lt $n * $t) {
|
|
Write-Host "$n" -noNewline
|
|
$ndigits++
|
|
$nr = $Big[10] * ( $r - $n * $t )
|
|
$n = ( ( $Big[10] * ( 3 * $q + $r ) ) / $t ) - 10 * $n
|
|
$q *= $Big[10]
|
|
$r = $nr
|
|
} else {
|
|
$nr = ( $Big[2] * $q + $r ) * $l
|
|
$nn = ( $q * ( $Big[7] * $k + $Big[2] ) + $r * $l ) / ( $t * $l )
|
|
$q *= $k
|
|
$t *= $l
|
|
$l += $Big[2]
|
|
$k = $k + $Big[1]
|
|
$n = $nn
|
|
$r = $nr
|
|
}
|
|
}
|
|
Write-Host "... ($Digits digits)"
|
|
}
|
|
|
|
try {
|
|
List-Pi $Digits
|
|
exit 0 # success
|
|
} catch {
|
|
"⚠️ Error in line $($_.InvocationInfo.ScriptLineNumber): $($Error[0])"
|
|
exit 1
|
|
} |